A 50kg person standing on both feet cover a surface about 13 cm x 12 cm. How much pressure is on the sole of their shoes?
To calculate the pressure on the sole of the shoes, we need to divide the force exerted on the surface (weight of the person) by the area of the surface covered by the feet.
First, let's convert the weight of the person from kilograms to Newtons. The conversion factor is 1kg = 9.8 N (acceleration due to gravity).
Weight = mass x acceleration due to gravity
Weight = 50 kg x 9.8 m/s^2
Weight = 490 N
Next, let's calculate the area covered by the feet in square meters. Convert the given dimensions from centimeters to meters.
Length = 13 cm = 13 / 100 m
Width = 12 cm = 12 / 100 m
Area = Length x Width
Area = (13 / 100 m) x (12 / 100 m)
Area = 0.156 m^2
Finally, divide the weight of the person by the area covered by the feet to calculate the pressure.
Pressure = Weight / Area
Pressure = 490 N / 0.156 m^2
Pressure ≈ 3141.03 Pa
Therefore, the pressure on the sole of the person's shoes is approximately 3141.03 Pascal (Pa).